A restricted growth word approach to partitions with odd/even size blocks

Richard Ehrenborg; Dustin Hedmark; Cyrus Hettle

A restricted growth word approach to partitions with odd/even size blocks

Richard Ehrenborg, Dustin Hedmark, Cyrus Hettle

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.

Original language	English
Journal	Journal of Integer Sequences
Volume	20
Issue number	5
State	Published - 2017

Bibliographical note

Funding Information:
The authors thank G?bor Hetyei for his help with finding and reading reference [10]. The authors also thank Andrew Klapper, Margaret Readdy, and the referee for their comments on an earlier draft. This work was supported by a grant from the Simons Foundation (#429370, Richard Ehrenborg).

Publisher Copyright:
© 2017, (publisher Name). All Rights Reserved.

Keywords

Multivariate generating function
Restricted growth word
Set partition

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Cite this

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abstract = "We use restricted growth words and multivariate generating functionology to obtain the ordinary generating function for the number of partitions of an n-set into k blocks of odd (respectively, even) cardinality.",

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AU - Hedmark, Dustin

AU - Hettle, Cyrus

N1 - Funding Information: The authors thank G?bor Hetyei for his help with finding and reading reference [10]. The authors also thank Andrew Klapper, Margaret Readdy, and the referee for their comments on an earlier draft. This work was supported by a grant from the Simons Foundation (#429370, Richard Ehrenborg). Publisher Copyright: © 2017, (publisher Name). All Rights Reserved.

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KW - Multivariate generating function

KW - Restricted growth word

KW - Set partition

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ER -

A restricted growth word approach to partitions with odd/even size blocks

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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